What is the volume of a sphere with a diameter of 8.6 m, rounded to the nearest
tenth of a cubic meter?
1. Find the radian measure for 150 degrees.
2. Find the degree measure for π/2.
Please explain how you used the unit circle to solve these questions.
Answer:
Step-by-step explanation:
1. 150 * π/180
= 150π/180
= 5π/6
=2.62
2. π/2
π/2 * 180/π
= 90 degrees
Step-by-step explanation:
1)150° 's radian measure
[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]
2)π/2 's degree measure
[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]
Basically,we need to use formulas to solve these type of sums.
Question 3 of 10
A student performed the following steps to find the solution to the equation
x2 + 4x - 12 -0. Where did the student go wrong?
Step 1. Factor the polynomial into (x+6) and (x-2)
Step 2. x-6 = 0 and x + 2 = 0
Step 3. X = 6 and x = -2
O A. in Step 2
B. in Step 1
O C. in Step 3
D. The student did not make any mistakes, the solution is correct
Answer:
A) in Step 2
Step-by-step explanation:
Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.
PLEASE HELP!!!!! I WILL MARK BRAINLIEST AND RATE 5 STARS!!
Answer:
37°
Step-by-step explanation:
sum of exterior angles of a polygon is 360°
so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360
8x+64=360, subtract 64 from both sides
8x=296
x=37°
What is the value of f(g(1)
Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1
Composite functionsComposite functions is a way of substituting one function into another.
Given the function expressed as:
y = 3√x + 1
g(1) from the mapping is 0
Substitute g(1) = 0 into the given function to have:
f(g(1)) = 3√0 .+ 1
f(g(1)) =0 + 1
f(g(1)) = 1
Hence the value of the composite function f(g(1)) is 1
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Here are some fractions.
3/10 7/20 2/5 1/4
Write these fractions in ascending order.
Answer:
1/4, 3/10, 7/20, 2/5
Step-by-step explanation:
1/4 = 25%
3/10 = 30%
7/20 = 35%
2/5 = 40%
Marcus had to drive to a job training workshop in a city 225 miles away from his home. He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training. How much was he paid for attending this workshop?
Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
How to calculate allowance?According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.
He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.
This means that Marcus was paid as follows:
$0.55 × 225 miles = $123.75$145 × 4 = $580Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
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mary drove for four hours on an interstate highway at a constant rate of 60 miles per hour. during the next hour, she drove on a state road at a slower rate of 40 miles per hour. how many miles did mary travel on her trip?
Step-by-step explanation:
speed = distance/time
distance = speed × time.
so, for the first 4 hours
distance = 60 m/h × 4 h = 240 miles
and for the next hour
distance = 40 m/h × 1 h = 40 miles
she traveled therefore
240 + 40 = 280 miles
the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took
can you help me with this
Answer:
c
Step-by-step explanation:
Subtract and simplify. What is the restriction on x?
[tex]x\neq[/tex]
[tex]\frac{2}{x^2-25} - \frac{3x}{x^2-4x-5}[/tex]
[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]
why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.
Reflect the figure over the line x = 0.
The coordinate of J’ is ?
The coordinate of K’ is ?
After the reflection over the line x = 0, the coordinates will be:
J' = (2, 1)
K' = (0, 4) = K
How to find the coordinates after the reflection?For any point (x, y), if we apply a reflection across the line x = 0, the image after the reflection will be (-x, y).
So it only changes the sign of the x-component.
In the graph, we can see that J = (-2, 1). So after the reflection, we will have:
J' = (2, 1).
And we also can see that K = (0, 4), then after the reflection, we have:
K' = (-0, 4) = (0, 4) = K
So point K does not change under that reflection.
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what is 4915 multiplied by 345
Answer:
1,695,675
Step-by-step explanation:
Me using the calculator <3
if there are 20 balloons and 5 pop how many are left
In the equation x² + 10x + 24 = (x + a)(x+b), bis
an integer. Find algebraically all possible values of
b.
Answer:
The answer is 6...Hope this might help you
Awnser The Question For 5pts!
Answer:
step 1
Step-by-step explanation:
in step one, it should have been 2 x 7 x 1000
Answer:
step 1
Step-by-step explanation:
In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700
Plssss helllpp. Worth 10 points
What is a synonym for the word "partial?"
incomplete
one-sided
complete
different
Answer:
incomplete
or
The first one
Step-by-step explanation:
hope this helps
have a good day
The table below represents a breakdown of food costs for Robert, a traveling
salesman. How much did he spend in total for food on Friday?
A. $45.94
B. $40.80
C. $42.56
D. $41.23
The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.
What is the addition of the numbers?The sum is also know as addition.
The table below represents a breakdown of food costs for Robert, a traveling salesman.
The amount that he spend in total for food on Friday will be
→ 13.30 + 10.76 + 16.74
→ $ 40.80
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Answer:
44.98
Step-by-step explanation:
If Maggie invests 16,250 at a rate of 4.9%, compounded monthly, find the value of the investment after 7 years.
Answer:
$22,883
Step-by-step explanation:
Principal Amount ( P ) = $16250
Interest Rate ( r ) = 4.9% or 0.049( divide by 100)
Term ( t ) = 7
Compounded monthly( n ) = 12
Formula for Compound Interest:
A = P ( 1 + r/n)^nt
A = Future value
Solution:
Substitute the given values of P, r, n and t to the formula for the compound interest.
A = $16250 ( 1 + 0.049/12)^(7)(12)
A = $16250 ( 1.004083333)^(84)
A = $16250 ( 1.408184955 )
A = $22,883
PLEASE HELP!!!
Solve for x using the Quadratic Formula: x2 + 2x + 1 = 0
-b+Vb2-4ac
X=
2a
Ox=2
Ox= 1
O x = 0
O x = -1
Answer:
last option, x = -1
Step-by-step explanation:
[tex]x^{2} + 2x + 1 = 0\\x_{1} = \frac{-2 + \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{2} = \frac{-2 - \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{1} = \frac{-2 + \sqrt{0} }{2}\\x_{2} = \frac{-2 - \sqrt{0} }{2}\\x = \frac{-2}{2} \\x = -1[/tex]
The value of x by using the Quadratic Formula is,
⇒ x = - 1
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Equation is,
⇒ x² + 2x + 1
Now, We can use the Quadratic Formula for x as;
⇒ x² + 2x + 1
⇒ x = - 2 ± √2² - 4×1×1 / 2
⇒ x = - 2 ± √4 - 4 / 2
⇒ x = - 2 / 2
⇒ x = - 1
Thus, The value of x by using the Quadratic Formula is,
⇒ x = - 1
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Add.
Your answer should be an expanded polynomial in standard form.
(8r^27r-9) + (−r²+ r) =
The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.
What is the Standard Form of a Polynomial?The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.
Given the polynomial:
(8r² - 7r - 9) + (-r² + r)
Distribute to open the bracket
8r² - 7r - 9 - r² + r
Combine like terms
7r² - 6r - 9 (standard form)
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ANSWER QUICK PLSS NOT MUCH TIME LEFT
A circle P is circumscribed about a regular hexagon ABCDEF
Select one:
a. exterior
b. inscribed
c. interior
d. central
Answer:
the answer willl be D
Step-by-step explanation:
Can someone help! I know the answer I just need step by step!
Answer:
[tex]4 \sqrt{2}[/tex]
Step-by-step explanation:
Rewrite 32 as the product of 16 and 2:
[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]
Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]
Rewrite 16 as 4²:
[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]
Apply exponent rule [tex]\sqrt{a^2}=a[/tex]
[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]
Answer:
4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{32}[/tex]
= [tex]\sqrt{16(2)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]
= 4[tex]\sqrt{2}[/tex]
What is the solution for x in the equation?
-2x+14+10x=34
Answer: The solution of x is 2.5
Step-by-step explanation: hope it helps:)
Answer: [tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]-2x+14+10x=34[/tex]
[tex]\left(-2x+10x\right)+14=34[/tex]
[tex]8x+14=34[/tex]
Group all constants on the right side of the equation:
[tex]8x+14-14=34-14[/tex]
[tex]8x=34-14[/tex]
[tex]8x=20[/tex]
Isolate the x:
[tex]\frac{8x}{8}=\frac{20}{8}[/tex]
[tex]x=\frac{20}{8}[/tex]
[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]
[tex]x=\frac{5}{2}[/tex]
The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]
[tex]calderonj4588~:)[/tex]
Can someone help me out, please?
How many solutions does the following equation have? 3(2x−4) =2(3x−6)
Answer:
Infinitely many solutions
Step-by-step explanation:
Equations can either have no solutions, one solution, or infinitely many solutions.
Examples:
No solutions: 2 = 6One solution: x = 2Infinitely many solutions: 2 = 2Given: 3(2x − 4) = 2(3x − 6)
Distribute:
3(2x − 4) = 2(3x − 6)
3(2x) + 3(−4) = 2(3x) + 2(−6)
6x − 12 = 6x − 12
As both sides of the equation are identical, this equation has an infinite number of solutions.
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help pls i need it know i will brainliest you thanks
Answer:
Check the attached image for your answer.
what is the approximate of this cone
Answer:
so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159
Find the slope of the line through
the points (1, 4) and (7, 1).
A
1
2
B
-2
1
2
D
2.
How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
O It is translated 1 unit right and compressed vertically by a factor of 3.
OIt is translated 1 unit left and compressed vertically by a factor of 3.
O It is translated 1 unit right and stretched vertically by a factor of 3.
OIt is translated 1 unit left and stretched vertically by a factor of 3.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²
We need to find how the parent function transformed to produce the graph of y = 3(x+1)².
The parent graph is shifted 1 unit towards the left by the rule of transformation.
[tex]f(x) = f(x+1)[/tex]
By applying this rule then,
[tex]y(x) = f(x+1)^2[/tex]
Now, the parent function stretched vertically 3 times the previous graph by the rule
[tex]f(x) = 3f(x)[/tex]
Apply this rule then, we get
[tex]y(x) = 3(x+1)^2[/tex]
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a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!